Thanks for you comments and feedback!
It's really good to hear that the controlling the character felt fluent. This is something that I have previously fight with a lot but luckily this time I luckily was able to use my previous experience with that and I was pretty happy about the movement myself also. I'm also very happy to hear that you liked the game mechanic. I don't believe it to be common (as I haven't seen games like that either) but I'm almost certain that I'm not the first person on Earth to get that idea. The background music was actually composed by me so good that it worked also.
About the issues you found:
1) Were you standing on the moving platform when this happened? I have had the same issue sometimes but it does not happen every time so it's really difficult to debug!
2) This one I heard first time about when some other player commented the same. I have know idea why it happens so I cannot fix it (and anyway the jam time is already ended so I shouldn't do a lot of edits). But I added a restart button (esc) to have at least one way to recover from that issue. Even if it's not very elegant it's better than starting from the beginning.
Jumping) This is a good suggestion! I won't probably edit this game a lot anymore after the jam but I will keep this in mind when I'm working with next platformer project.